In mathematics, a limit is a fundamental concept that describes the value that a function approaches as the input approaches a certain point. For example, as the value of x gets closer to 2, the function f(x) may approach a specific number, even if f(2) itself is not defined. Limits help in understanding the behavior of functions, especially in calculus. Limits are also essential in defining derivatives and integrals, which are key concepts in calculus. They allow mathematicians to analyze changes and areas under curves. By studying limits, one can gain insights into continuity, infinity, and the behavior of functions at specific points.